Elementary Real and Complex Analysis

Elementary Real and Complex Analysis

Author: Georgi E. Shilov

Publisher: Courier Corporation

Published: 1996-01-01

Total Pages: 548

ISBN-13: 9780486689227

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Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.


Real and Complex Analysis

Real and Complex Analysis

Author: Rajnikant Sinha

Publisher: Springer

Published: 2018-11-04

Total Pages: 645

ISBN-13: 9811309388

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This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.


Elementary Functional Analysis

Elementary Functional Analysis

Author: Georgi E. Shilov

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 354

ISBN-13: 0486318680

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Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.


Introductory Complex Analysis

Introductory Complex Analysis

Author: Richard A. Silverman

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 402

ISBN-13: 0486318524

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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.


Complex Analysis with Applications

Complex Analysis with Applications

Author: Richard A. Silverman

Publisher: Courier Corporation

Published: 1984-01-01

Total Pages: 308

ISBN-13: 9780486647623

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The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.


Problems in Real and Complex Analysis

Problems in Real and Complex Analysis

Author: Bernard R. Gelbaum

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 490

ISBN-13: 1461209250

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This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.